Degree distribution in discrete case

被引：6
作者：
Wang, Li-Na [1 ,2 ]
Chen, Bin [1 ]
Yan, Zai-Zai [2 ]
机构：
[1] Shanghai Univ Sci & Technol, Sch Business, Shanghai 200093, Peoples R China
[2] Inner Mongolian Univ Technol, Coll Sci, Hohhot 010051, Peoples R China
来源：
PHYSICS LETTERS A | 2011年 / 375卷 / 26期
基金：
中国国家自然科学基金;
关键词：
Networks; Degree distribution; Cumulative distribution; Power-law exponent; NETWORKS; MODEL;
D O I：
10.1016/j.physleta.2011.05.028
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Vertex degree of many network models and re. I-life networks is limited to non-negative integer. By means of measure and integral, the relation of the degree distribution and the cumulative degree distribution in discrete case is analyzed. The degree distribution, obtained by the differential of its cumulative, is only suitable for continuous case or discrete case with constant degree change. When degree change is not a constant but proportional to degree itself, power-law degree distribution and its cumulative have the same exponent and the mean value is finite for power-law exponent greater than 1. (C) 2011 Elsevier B.V. All rights reserved.
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页码：2533 / 2537
页数：5
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